Home / 106,511.84-159,740.34-31,614.26

Finding the Fourth Proportional to 106,511.84, 159,740.34 and 31,614.26

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Solution

The fourth proportional to 106,511.84, 159,740.34 and 31,614.26 is: 47,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511.84 : 159,740.34 = 31,614.26 : x
  2. Step 2: Convert to fraction form
    106,511.84/159,740.34 = 31,614.26/x
  3. Step 3: Cross multiply
    106,511.84x = 159,740.34 × 31,614.26
  4. Step 4: Simplify right side
    106,511.84x = 5,050,072,641.25
  5. Step 5: Solve for x
    x = 5,050,072,641.25/106,511.84
  6. Step 6: Final answer
    x = 47,413.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.